论文标题
$ w $ - 与中心化相关的代数$ a $
$W$-algebras associated with centralizers in type $A$
论文作者
论文摘要
我们介绍了一个与$ \ mathfrak {gl} _n $中的任意nilpotent元素中心化相关的仿射$ w $ algebras的新家族。我们通过使用量子Drinfeld-Sokolov降低的BRST复合物的版本来定义它们。新代数的自由发电机家庭以明确的形式生产。我们还通过应用Miura型图来对这些代数的Fateev-卢比亚诺夫实现。
We introduce a new family of affine $W$-algebras associated with the centralizers of arbitrary nilpotent elements in $\mathfrak{gl}_N$. We define them by using a version of the BRST complex of the quantum Drinfeld--Sokolov reduction. A family of free generators of the new algebras is produced in an explicit form. We also give an analogue of the Fateev--Lukyanov realization for these algebras by applying a Miura-type map.
